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2 years ago

Which value of x would make FG II BC? 1 3 6 9

Mathematics

2 answers:

Veseljchak [2.6K]2 years ago

7 0

x - 1 x + 1
------ = --------------
x + 3 x + 6

if x = 9
8/ 12 = 10/15

12 (10) = 8(15)
120 = 120

so
answer is 9 (last choice)

ehidna [41]2 years ago

6 0

Answer: The value of x is 9.

Explanation:

It is given that FG || BC.

If a transversal line intersect two parallel lines then the corresponding angles are same. There in triangle ACB and AGF,

$\angle GFA=\angle CBA$

$\angle AGF=\angle ACB$

Angle A is common is both triangles.

$\frac{FA}{BA}= \frac{GA}{CA}$

$\frac{x+1}{(x+1)+(x+6)}= \frac{x-1}{(x-1)+(x+3)}$

$\frac{x+1}{(2x+7}= \frac{x-1}{(2x+2)}$

$(x+1)(2x+2)=(x-1)(2x+7)$

$2x^2+4x+2=2x^2+5x-7$

$4x+2=5x-7$

$x=9$

Therefore, the value of x is 9.

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2 years ago

Annabelle measures the sides of 15 right triangles and, based on her observations, she concludes that for any right triangle the

saul85 [17]

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6 0

2 years ago

In quadrilateral QRST, m is 68°, m is (3x + 40)°, and m is (5x − 52)°. What are the measures of , , and ? Write the numerical va

GrogVix [38]

Answer:112,112,68

Step-by-step explanation:

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6 0

2 years ago

-3^(-x)-6=-3^x+10<br><br>Solve the equation below for x by graphing plz

vitfil [10]

To graph it, just graph $y=-3^{-x}-6$ and $y=-3^x+10$ and see where they intersect

I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it

hmm
multiply both sides by -1
$3^{-x}+6=3^x-10$
multiply both sides by $3^x$
$3^0+6(3^x)=3^{2x}-10(3^x)$
$1+6(3^x)=3^{2x}-10(3^x)$
minus 1 from both sides and minus 6(3^x) from both sides
$0=3^{2x}-16(3^x)-1$
use u subsitution
$u=3^x$
we can rewrite it as
$0=u^2-16u-1$
now factor
I mean use quadratic formula
for $ax^2+bx+c=0$ $x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}$
so for 0=u^2-16u-1, a=1, b=-16, c=-1
$u=\frac{-(-16)+/-\sqrt{(-16)^2-4(1)(-1)}{2(1)}$
$u=8+/-\sqrt{65}$
remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor
$u=8+\sqrt{65}=3^x$
$8+\sqrt{65}=3^x$
if you take the log base 3 of both sides you get
$log_3(8+\sqrt{65})=x$
if you use ln then
$ln(8+\sqrt{65})=xln(3)$
then
$\frac{ln(8+\sqrt{65})}{ln(3)}=x$

8 0

2 years ago

Read 2 more answers

Anita earns 60 points every time she shops at a grocery store.She needs a total of 2,580 points to receive a free prize.So far s

Alexandra [31]

Answer: 43 more times

2580÷60=43.

Step-by-step explanation: 43×60 =2580

This proves that 43 times is correct.

6 0

2 years ago